{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ARMA and ARIMA Models "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsmodels.graphics.tsaplots import plot_pacf\n",
    "from statsmodels.graphics.tsaplots import plot_acf\n",
    "from statsmodels.tsa.arima_process import ArmaProcess\n",
    "from statsmodels.stats.diagnostic import acorr_ljungbox\n",
    "from statsmodels.tsa.statespace.sarimax import SARIMAX\n",
    "from statsmodels.tsa.stattools import adfuller\n",
    "from statsmodels.tsa.stattools import pacf\n",
    "from statsmodels.tsa.stattools import acf\n",
    "from tqdm import tqdm_notebook\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "from itertools import product\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simulate ARMA process (1,1) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "ar1 = np.array([1, 0.33])\n",
    "ma1 = np.array([1, 0.9])\n",
    "\n",
    "simulated_ARMA_data = ArmaProcess(ar1, ma1).generate_sample(nsample=10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x540 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=[15, 7.5]); # Set dimensions for figure\n",
    "plt.plot(simulated_ARMA_data)\n",
    "plt.title(\"Simulated ARMA(1,1) Process\")\n",
    "plt.xlim([0, 200])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_pacf(simulated_ARMA_data);\n",
    "plot_acf(simulated_ARMA_data);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simulate ARMA (2,2) process "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "ar2 = np.array([1, 0.33, 0.5])\n",
    "ma2 = np.array([1, 0.9, 0.3])\n",
    "\n",
    "simulated_ARMA2_data = ArmaProcess(ar1, ma1).generate_sample(nsample=10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x540 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=[15, 7.5]); # Set dimensions for figure\n",
    "plt.plot(simulated_ARMA2_data)\n",
    "plt.title(\"Simulated ARMA(2,2) Process\")\n",
    "plt.xlim([0, 200])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_pacf(simulated_ARMA2_data);\n",
    "plot_acf(simulated_ARMA2_data);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ARIMA "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>data</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td>0</td>\n",
       "      <td>1960-01-01</td>\n",
       "      <td>0.71</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>1</td>\n",
       "      <td>1960-04-01</td>\n",
       "      <td>0.63</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>2</td>\n",
       "      <td>1960-07-02</td>\n",
       "      <td>0.85</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>3</td>\n",
       "      <td>1960-10-01</td>\n",
       "      <td>0.44</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>4</td>\n",
       "      <td>1961-01-01</td>\n",
       "      <td>0.61</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         date  data\n",
       "0  1960-01-01  0.71\n",
       "1  1960-04-01  0.63\n",
       "2  1960-07-02  0.85\n",
       "3  1960-10-01  0.44\n",
       "4  1961-01-01  0.61"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = pd.read_csv('jj.csv')\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x540 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=[15, 7.5]); # Set dimensions for figure\n",
    "plt.scatter(data['date'], data['data'])\n",
    "plt.title('Quarterly EPS for Johnson & Johnson')\n",
    "plt.ylabel('EPS per share ($)')\n",
    "plt.xlabel('Date')\n",
    "plt.xticks(rotation=90)\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_pacf(data['data']);\n",
    "plot_acf(data['data']);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ADF Statistic: 2.7420165734574744\n",
      "p-value: 1.0\n"
     ]
    }
   ],
   "source": [
    "# Augmented Dickey-Fuller test\n",
    "\n",
    "ad_fuller_result = adfuller(data['data'])\n",
    "print(f'ADF Statistic: {ad_fuller_result[0]}')\n",
    "print(f'p-value: {ad_fuller_result[1]}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>data</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td>1</td>\n",
       "      <td>1960-04-01</td>\n",
       "      <td>-0.119545</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>2</td>\n",
       "      <td>1960-07-02</td>\n",
       "      <td>0.299517</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>3</td>\n",
       "      <td>1960-10-01</td>\n",
       "      <td>-0.658462</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>4</td>\n",
       "      <td>1961-01-01</td>\n",
       "      <td>0.326684</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>5</td>\n",
       "      <td>1961-04-02</td>\n",
       "      <td>0.123233</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         date      data\n",
       "1  1960-04-01 -0.119545\n",
       "2  1960-07-02  0.299517\n",
       "3  1960-10-01 -0.658462\n",
       "4  1961-01-01  0.326684\n",
       "5  1961-04-02  0.123233"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Take the log difference to make data stationary\n",
    "\n",
    "data['data'] = np.log(data['data'])\n",
    "data['data'] = data['data'].diff()\n",
    "data = data.drop(data.index[0])\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x540 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=[15, 7.5]); # Set dimensions for figure\n",
    "plt.plot(data['data'])\n",
    "plt.title(\"Log Difference of Quarterly EPS for Johnson & Johnson\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ADF Statistic: -4.317043945811822\n",
      "p-value: 0.00041497314044409007\n"
     ]
    }
   ],
   "source": [
    "# Augmented Dickey-Fuller test\n",
    "\n",
    "ad_fuller_result = adfuller(data['data'])\n",
    "print(f'ADF Statistic: {ad_fuller_result[0]}')\n",
    "print(f'p-value: {ad_fuller_result[1]}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_pacf(data['data']);\n",
    "plot_acf(data['data']);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "def optimize_ARIMA(order_list, exog):\n",
    "    \"\"\"\n",
    "        Return dataframe with parameters and corresponding AIC\n",
    "        \n",
    "        order_list - list with (p, d, q) tuples\n",
    "        exog - the exogenous variable\n",
    "    \"\"\"\n",
    "    \n",
    "    results = []\n",
    "    \n",
    "    for order in tqdm_notebook(order_list):\n",
    "        try: \n",
    "            model = SARIMAX(exog, order=order).fit(disp=-1)\n",
    "        except:\n",
    "            continue\n",
    "            \n",
    "        aic = model.aic\n",
    "        results.append([order, model.aic])\n",
    "        \n",
    "    result_df = pd.DataFrame(results)\n",
    "    result_df.columns = ['(p, d, q)', 'AIC']\n",
    "    #Sort in ascending order, lower AIC is better\n",
    "    result_df = result_df.sort_values(by='AIC', ascending=True).reset_index(drop=True)\n",
    "    \n",
    "    return result_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "a882a385c9e04d2aa1d22828591d5a05",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=64), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>(p, d, q)</th>\n",
       "      <th>AIC</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td>0</td>\n",
       "      <td>(3, 1, 3)</td>\n",
       "      <td>-142.041718</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>1</td>\n",
       "      <td>(7, 1, 1)</td>\n",
       "      <td>-141.471431</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>2</td>\n",
       "      <td>(7, 1, 5)</td>\n",
       "      <td>-140.621676</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>3</td>\n",
       "      <td>(3, 1, 1)</td>\n",
       "      <td>-140.470685</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>4</td>\n",
       "      <td>(3, 1, 4)</td>\n",
       "      <td>-140.460959</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>58</td>\n",
       "      <td>(1, 1, 1)</td>\n",
       "      <td>-37.107282</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>59</td>\n",
       "      <td>(0, 1, 1)</td>\n",
       "      <td>-14.645882</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>60</td>\n",
       "      <td>(2, 1, 0)</td>\n",
       "      <td>14.952068</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>61</td>\n",
       "      <td>(1, 1, 0)</td>\n",
       "      <td>17.545808</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>62</td>\n",
       "      <td>(0, 1, 0)</td>\n",
       "      <td>68.249842</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>63 rows × 2 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "    (p, d, q)         AIC\n",
       "0   (3, 1, 3) -142.041718\n",
       "1   (7, 1, 1) -141.471431\n",
       "2   (7, 1, 5) -140.621676\n",
       "3   (3, 1, 1) -140.470685\n",
       "4   (3, 1, 4) -140.460959\n",
       "..        ...         ...\n",
       "58  (1, 1, 1)  -37.107282\n",
       "59  (0, 1, 1)  -14.645882\n",
       "60  (2, 1, 0)   14.952068\n",
       "61  (1, 1, 0)   17.545808\n",
       "62  (0, 1, 0)   68.249842\n",
       "\n",
       "[63 rows x 2 columns]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ps = range(0, 8, 1)\n",
    "d = 1\n",
    "qs = range(0, 8, 1)\n",
    "\n",
    "# Create a list with all possible combination of parameters\n",
    "parameters = product(ps, qs)\n",
    "parameters_list = list(parameters)\n",
    "\n",
    "order_list = []\n",
    "\n",
    "for each in parameters_list:\n",
    "    each = list(each)\n",
    "    each.insert(1, 1)\n",
    "    each = tuple(each)\n",
    "    order_list.append(each)\n",
    "    \n",
    "result_df = optimize_ARIMA(order_list, exog=data['data'])\n",
    "\n",
    "result_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                           Statespace Model Results                           \n",
      "==============================================================================\n",
      "Dep. Variable:                   data   No. Observations:                   83\n",
      "Model:               SARIMAX(4, 1, 1)   Log Likelihood                  76.220\n",
      "Date:                Tue, 23 Jun 2020   AIC                           -140.440\n",
      "Time:                        16:32:57   BIC                           -125.999\n",
      "Sample:                             0   HQIC                          -134.642\n",
      "                                 - 83                                         \n",
      "Covariance Type:                  opg                                         \n",
      "==============================================================================\n",
      "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "ar.L1         -0.7554      0.142     -5.327      0.000      -1.033      -0.477\n",
      "ar.L2         -0.6862      0.144     -4.776      0.000      -0.968      -0.405\n",
      "ar.L3         -0.6952      0.148     -4.691      0.000      -0.986      -0.405\n",
      "ar.L4          0.2118      0.146      1.455      0.146      -0.074       0.497\n",
      "ma.L1         -0.8945      0.078    -11.399      0.000      -1.048      -0.741\n",
      "sigma2         0.0081      0.001      5.664      0.000       0.005       0.011\n",
      "===================================================================================\n",
      "Ljung-Box (Q):                       45.12   Jarque-Bera (JB):                 0.32\n",
      "Prob(Q):                              0.27   Prob(JB):                         0.85\n",
      "Heteroskedasticity (H):               0.51   Skew:                            -0.00\n",
      "Prob(H) (two-sided):                  0.08   Kurtosis:                         2.69\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n"
     ]
    }
   ],
   "source": [
    "best_model = SARIMAX(data['data'], order=(4,1,1)).fit()\n",
    "print(best_model.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ljung-Box test: [ 5.96061011  6.54925704  6.63610689  8.17537184  8.33452673  8.51911312\n",
      " 11.41101254 11.41264352 11.53544168 11.97896932]\n",
      "p-value: [0.01462898 0.03783092 0.08444659 0.08536127 0.13873745 0.20248309\n",
      " 0.12166857 0.17939617 0.24078304 0.28646647]\n"
     ]
    }
   ],
   "source": [
    "# Ljung-Box test and Augmented Dickey-Fuller test\n",
    "ljung_box, p_value = acorr_ljungbox(best_model.resid)\n",
    "\n",
    "print(f'Ljung-Box test: {ljung_box[:10]}')\n",
    "print(f'p-value: {p_value[:10]}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_pacf(best_model.resid);\n",
    "plot_acf(best_model.resid);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
